7.5 is what percent of 400000 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 400000 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 400000, so we can write it down as 100%=400000.
4. We know, that x% equals 7.5 of the output value, so we can write it down as x%=7.5.
5. Now we have two simple equations:
1) 100%=400000
2) x%=7.5
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=400000/7.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.5 is what percent of 400000

100%/x%=400000/7.5
(100/x)*x=(400000/7.5)*x       - we multiply both sides of the equation by x
100=53333.333333333*x       - we divide both sides of the equation by (53333.333333333) to get x
100/53333.333333333=x
0.001875=x
x=0.001875

now we have:
7.5 is 0.001875% of 400000